A new non-iterative self-referencing interferometer in optical phase imaging and holographic microscopy, HOLOCAM

TL;DR

This paper introduces HOLOCAM, a non-iterative, stable method for phase retrieval in optical imaging and holography using self-referencing interferograms, promising broad applications in microscopy and tomography.

Contribution

The paper presents a novel, non-iterative approach to phase retrieval from self-referencing interferograms that guarantees convergence and simplifies numerical solutions.

Findings

Stable, linear equation formulation for phase retrieval

Guaranteed convergence without iterative algorithms

Potential applications in X-ray microscopy and holography

Abstract

Phase retrieval and imaging phase measurements are fields of intense research. It has recently been shown that phase retrieval from self-referencing interferograms (SRI) can be reformulated leading to a stable, linear equation provided the amplitude of the field is known from prior measurement steps (HOLOCAM). Consequently, the numerical solution thereof is straightforward. This is a big achievement since convergence is otherwise not always guaranteed. Applications are expected in X-ray microscopy, general phase retrieval, holography, tomography and optical imaging.